838860768 has 72 divisors (see below), whose sum is σ = 2390169600. Its totient is φ = 279074304.

The previous prime is 838860721. The next prime is 838860769. The reversal of 838860768 is 867068838.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838860769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161313 + ... + 166431.

It is an arithmetic number, because the mean of its divisors is an integer number (33196800).

Almost surely, 2^838860768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838860768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195084800).

838860768 is an abundant number, since it is smaller than the sum of its proper divisors (1551308832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

838860768 is a wasteful number, since it uses less digits than its factorization.

838860768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5704 (or 5693 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 838860768 is about 28963.0932049738. The cubic root of 838860768 is about 943.1120516596.

The spelling of 838860768 in words is "eight hundred thirty-eight million, eight hundred sixty thousand, seven hundred sixty-eight".